Two types of optimization of a cylindrical shell subjected to lateral pressure

Liang, Bin; Noda, Nao Aki; Zhang, Shufen

doi:10.1016/j.ijpvp.2006.04.001

Cited by 7 publications

(3 citation statements)

References 11 publications

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“…Bin Liang et al [2] analyze two types of optimization of thin-walled cylindrical shells loaded by lateral pressure, with arbitrary axisymmetric boundary conditions and the volume being constant. The first is to find the optimal thickness to minimize the maximum deflection of a cylindrical shell.…”

Section: Introductionmentioning

confidence: 99%

Analysis of cylindrical shells by the Least Squares Method

Kadri¹,

Sahli²,

Sahli³

2019

MMEP

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The present paper deals with the analysis of cylindrical shells by the application of the Weighed Residual Method, more specifically the Least Squared Method, to obtain approximate solutions of shells structural problems, especially the cylindrical reservoirs subjected to hydrostatic shipment in the linear behavior regime. The ways of obtaining the approximate solutions refer to the adoption of linear, polynomial approximate bases, as well as the possibility of enriching the approximation by adding functions with similar characteristics to the accurate solution itself. Such procedures can be useful in the analysis of structures to significantly prevent the rise of the computational effort, by means of an approximate base that corresponds to the characteristics required by the analytical solution of the problem.

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Section: Introductionmentioning

confidence: 99%

Analysis of cylindrical shells by the Least Squares Method

Kadri¹,

Sahli²,

Sahli³

2019

MMEP

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“…The elastic boundaries were represented by distributed linear springs, and elastic boundary conditions could be simulated by varying the eight spring constants. Liang et al 15 studied stiffness optimization of TCS under elasticity boundary condition. The explicit formula of initial parameter solution of variable thickness shell was derived by transfer matrix method, and the optimization process was transformed into a constraint nonlinear solving process; thus, the objective function can be successfully obtained by the stepped reduction method.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Elastic Boundary on Modal Parameters of Thin Cylindrical Shell

Li¹,

Luo²,

Sun³

et al. 2018

IJAV

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This research combines theory with experiment to investigate the influence of an elastic boundary on modal parameters of a thin cylindrical shell (TCS). First, artificial stiffness method and finite element method (FEM) are employed to calculate natural frequencies and modal shapes of TCS under condition such that vibration characteristics of elastically supported shell can be roughly mastered. Then, the following measurements and identification techniques are used to get precise frequency, damping, and shape results: non-contact laser Doppler vibrometer and vibration shaker with excitation level being precisely controlled are used in the test system; "pre-experiment" is adopted to determine the required tightening torque as well as to verify whether or not the tested shell is under constraint boundary; and small-segment FFT processing technique is employed to accurately measure nature frequency, and laser rotating scanning technique is used to get shape results with high efficiency. Finally, based on the accurate measured data, the influences on natural frequencies, modal shapes, and damping ratios of TCS under elastic boundary are analysed and discussed. It can be found that an elastic boundary can significantly affect frequency and damping results, clearly reducing high order damping and decreasing natural frequencies of most modes. However, high order natural frequencies and mode shapes are still the same as the ones under the constraint condition, and the changing trend of natural frequencies with mode shapes is constant when the order of axial mode is m = 1, which agrees well with the results calculated by artificial stiffness method and FEM.

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“…They found that natural frequency was as a function of the shell displacement amplitude, and it was also close related to the effect of elastic foundation, nonlinearity, and number and ordering of layers of the shell. Liang and Zhang [17] studied stiffness optimization of TCS under elasticity boundary condition. The explicit formula of initial parameter solution of variable thickness shell was derived by transfer matrix method, and the optimization process was transformed into a constraint nonlinear solving process; thus the objective function can be successfully obtained by the stepped reduction method.…”

Section: Introductionmentioning

confidence: 99%

The Influence on Modal Parameters of Thin Cylindrical Shell under Bolt Looseness Boundary

Li¹,

Zhu²,

Xu³

et al. 2016

Shock and Vibration

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The influence on modal parameters of thin cylindrical shell (TCS) under bolt looseness boundary is investigated. Firstly, bolt looseness boundary of the shell is divided into two types, that is, different bolt looseness numbers and different bolt looseness levels, and natural frequencies and mode shapes are calculated by finite element method to roughly master vibration characteristics of TCS under these conditions. Then, the following measurements and identification techniques are used to get precise frequency, damping, and shape results; for example, noncontact laser Doppler vibrometer and vibration shaker with excitation level being precisely controlled are used in the test system; “preexperiment” is adopted to determine the required tightening torque and verify fixed constraint boundary; the small-segment FFT processing technique is employed to accurately measure nature frequency and laser rotating scanning technique is used to get shape results with high efficiency. Finally, based on the measured results obtained by the above techniques, the influence on modal parameters of TCS under two types of bolt looseness boundaries is analyzed and discussed. It can be found that bolt looseness boundary can significantly affect frequency and damping results which might be caused by changes of nonlinear stiffness and damping and in bolt looseness positions.

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Two types of optimization of a cylindrical shell subjected to lateral pressure

Cited by 7 publications

References 11 publications

Analysis of cylindrical shells by the Least Squares Method

Analysis of cylindrical shells by the Least Squares Method

The Influence of Elastic Boundary on Modal Parameters of Thin Cylindrical Shell

The Influence on Modal Parameters of Thin Cylindrical Shell under Bolt Looseness Boundary

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